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Extensions of the Fuglede-Putnam-type theorems to subnormal operators

Published online by Cambridge University Press:  17 April 2009

Takayuki Furuta
Takayuki Furuta
Affiliation:
Department of Mathematics, Faculty of Science, Hirosaki University, Bunkyo-cho 3, Hirosaki 036 Aomori, Japan.
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Abstract

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At first we investigate the similarity between the Kleinecke-Shirokov theorem for subnormal operators and the Fuglede-Putnam theorem and also we show an asymptotic version of this similarity. These results generalize results of Ackermans, van Eijndhoven and Martens. Also we show two theorems on degree of approximation on subnormal derivation ranges. These results generalize results of Stampfli on degree of approximation on normal derivation ranges. The purpose of this paper is to show that the Fuglede-Putnam-type theorem on normal operators can certainly be generalized to subnormal operators.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 2 , April 1985 , pp. 161 - 169
Copyright
Copyright © Australian Mathematical Society 1985

References

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